Following Xie et al. [1]}, we model the probability of data point \(i\)  being assigned to cluster \(j\)  using the Student's t-distribution [2]}, producing a distribution (\(q_{ij}\)  for images and \(r_{ij}\)  for text).
\(q_{ij} = \frac{(1+{z_i-\mu _j}^2/\alpha )^{-\frac{\alpha +1}{2}}}{\sum _{j^{\prime }}(1+{z_i-\mu _{j^{\prime }}}^2/\alpha )^\frac{\alpha +1}{2}}\) 
\(r_{ij} = \frac{(1+{z^{\prime }_i-\mu ^{\prime }_j}^2/\alpha )^{-\frac{\alpha +1}{2}}}{\sum _{j^{\prime }}(1+{z^{\prime }_i-\mu ^{\prime }_{j^{\prime }}}^2/\alpha )^\frac{\alpha +1}{2}}\) 
